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## Brown, Kenneth Stephen

Compute Distance To:
 Author ID: brown.kenneth-s Published as: Brown, K. S.; Brown, K. Stephen; Brown, Kenneth; Brown, Kenneth S. Homepage: http://www.math.cornell.edu/~kbrown/ External Links: MGP · Wikidata · GND
 Documents Indexed: 44 Publications since 1961, including 7 Books
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#### Co-Authors

 26 single-authored 3 Abramenko, Peter 3 Geoghegan, Ross 2 Diaconis, Persi Warren 2 Farrell, Patrick J. 2 Sashegyi, Andreas I. 1 Abels, Herbert 1 Belk, James M. 1 Billera, Louis J. 1 Dror Farjoun, Emmanuel 1 Gersten, Stephen M. 1 Kahn, Peter J. 1 Meier, John 1 Thévenaz, Jacques
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#### Serials

 4 Commentarii Mathematici Helvetici 4 Inventiones Mathematicae 4 Journal of Pure and Applied Algebra 2 Journal of Algebra 2 Graduate Texts in Mathematics 1 American Mathematical Monthly 1 The Canadian Journal of Statistics 1 Israel Journal of Mathematics 1 The Annals of Probability 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Journal of Theoretical Probability 1 International Journal of Algebra and Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Group Theory 1 Innovations in Incidence Geometry 1 Springer Monographs in Mathematics
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#### Fields

 35 Group theory and generalizations (20-XX) 16 Algebraic topology (55-XX) 9 Manifolds and cell complexes (57-XX) 8 Category theory; homological algebra (18-XX) 7 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 3 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 2 Combinatorics (05-XX) 2 Statistics (62-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

41 Publications have been cited 2,085 times in 1,695 Documents Cited by Year
Cohomology of groups. Zbl 0584.20036
Brown, Kenneth S.
1982
Cohomology of groups (Summary of talks). Zbl 0367.18012
Brown, K. S.
1976
Buildings. Zbl 0715.20017
Brown, Kenneth S.
1989
Finiteness properties of groups. Zbl 0613.20033
Brown, Kenneth S.
1987
Buildings. Theory and applications. Zbl 1214.20033
Abramenko, Peter; Brown, Kenneth S.
2008
An infinite-dimensional torsion-free $$\text{FP}_{\infty}$$ group. Zbl 0557.55009
Brown, Kenneth S.; Geoghegan, Ross
1984
Abstract homotopy theory and generalized sheaf cohomology. Zbl 0245.55007
Brown, Kenneth S.
1974
Semigroups, rings, and Markov chains. Zbl 0980.60014
Brown, Kenneth S.
2000
Random walks and hyperplane arrangements. Zbl 0938.60064
Brown, Kenneth S.; Diaconis, Persi
1998
Euler characteristics of discrete groups and G-spaces. Zbl 0294.20047
Brown, Kenneth S.
1974
Trees, valuations, and the Bieri-Neumann-Strebel invariant. Zbl 0663.20033
Brown, Kenneth S.
1987
Euler characteristics of groups: The $$p$$-fractional part. Zbl 0294.20048
Brown, Kenneth S.
1975
Homological criteria for finiteness. Zbl 0302.18010
Brown, Kenneth S.
1975
The coset poset and probabilistic zeta function of a finite group. Zbl 0973.20016
Brown, Kenneth S.
2000
Semigroup and ring theoretical methods in probability. Zbl 1043.60055
Brown, Kenneth S.
2004
Presentations for groups acting on simply-connected complexes. Zbl 0545.20022
Brown, Kenneth S.
1984
The geometry of rewriting systems: A proof of the Anick-Groves-Squier theorem. Zbl 0764.20016
Brown, Kenneth S.
1992
Forest diagrams for elements of Thompson’s group $$F$$. Zbl 1163.20310
Belk, James M.; Brown, Kenneth S.
2005
Algebraic $$K$$-theory as generalized sheaf cohomology. Zbl 0291.18017
Brown, Kenneth S.; Gersten, Stephen M.
1973
Complete Euler characteristics and fixed-point theory. Zbl 0493.20033
Brown, Kenneth S.
1982
Buildings. Reprint of the 1989 original. Zbl 0922.20034
Brown, Kenneth S.
1998
Buildings. 2nd, corr. printing. Zbl 0922.20033
Brown, Kenneth S.
1996
High dimensional cohomology of discrete groups. Zbl 0339.20013
Brown, Kenneth S.
1976
Finiteness properties of solvable S-arithmetic groups: An example. Zbl 0617.20020
Abels, Herbert; Brown, Kenneth S.
1987
The Artin-Rees property and homology. Zbl 0321.18010
Brown, Kenneth S.; Dror, Emmanuel
1975
The geometry of finitely presented infinite simple groups. Zbl 0753.20007
Brown, Kenneth S.
1992
Automorphisms of non-spherical buildings have unbounded displacement. Zbl 1276.51004
Abramenko, Peter; Brown, Kenneth S.
2009
A generalization of Sylow’s third theorem. Zbl 0639.20012
Brown, Kenneth S.; Thévenaz, Jacques
1988
Homotopy dimension and simple cohomological dimension of spaces. Zbl 0351.55009
Brown, Kenneth S.; Kahn, Peter J.
1977
The homology of Richard Thompson’s group $$F$$. Zbl 1113.20043
Brown, Kenneth S.
2006
Five lectures on buildings. Zbl 0846.20032
Brown, Kenneth S.
1991
Cohomology with free coefficients of the fundamental group of a graph of groups. Zbl 0584.20037
Brown, Kenneth S.; Geoghegan, Ross
1985
Estimation in an empirical Bayes model for longitudinal and cross-sectionally clustered binary data. Zbl 0963.62008
Sashegyi, Andreas I.; Brown, K. Stephen; Farrell, Patrick J.
2000
Improper actions and higher connectivity at infinity. Zbl 1002.57003
Brown, Kenneth S.; Meier, John
2000
$$FP_\infty$$ groups and HNN extensions. Zbl 0521.57001
Brown, Kenneth S.; Geoghegan, Ross
1983
Cohomology of infinite groups. Zbl 0424.20044
Brown, Kenneth S.
1980
Lectures on the cohomology of groups. Zbl 1233.20046
Brown, Kenneth S.
2010
Random walks and plane arrangements in three dimensions. Zbl 0985.60069
Billera, Louis J.; Brown, Kenneth S.; Diaconis, Persi
1999
Cohomology of groups. (Kogomologii grupp). Transl. from the English by D. B. Fuks. Zbl 0606.20041
Brown, Kenneth S.
1987
Groups of virtually finite dimension. Zbl 0426.20038
Brown, Kenneth S.
1979
Transitivity properties for group actions on buildings. Zbl 1163.51002
Abramenko, Peter; Brown, Kenneth S.
2007
Lectures on the cohomology of groups. Zbl 1233.20046
Brown, Kenneth S.
2010
Automorphisms of non-spherical buildings have unbounded displacement. Zbl 1276.51004
Abramenko, Peter; Brown, Kenneth S.
2009
Buildings. Theory and applications. Zbl 1214.20033
Abramenko, Peter; Brown, Kenneth S.
2008
Transitivity properties for group actions on buildings. Zbl 1163.51002
Abramenko, Peter; Brown, Kenneth S.
2007
The homology of Richard Thompson’s group $$F$$. Zbl 1113.20043
Brown, Kenneth S.
2006
Forest diagrams for elements of Thompson’s group $$F$$. Zbl 1163.20310
Belk, James M.; Brown, Kenneth S.
2005
Semigroup and ring theoretical methods in probability. Zbl 1043.60055
Brown, Kenneth S.
2004
Semigroups, rings, and Markov chains. Zbl 0980.60014
Brown, Kenneth S.
2000
The coset poset and probabilistic zeta function of a finite group. Zbl 0973.20016
Brown, Kenneth S.
2000
Estimation in an empirical Bayes model for longitudinal and cross-sectionally clustered binary data. Zbl 0963.62008
Sashegyi, Andreas I.; Brown, K. Stephen; Farrell, Patrick J.
2000
Improper actions and higher connectivity at infinity. Zbl 1002.57003
Brown, Kenneth S.; Meier, John
2000
Random walks and plane arrangements in three dimensions. Zbl 0985.60069
Billera, Louis J.; Brown, Kenneth S.; Diaconis, Persi
1999
Random walks and hyperplane arrangements. Zbl 0938.60064
Brown, Kenneth S.; Diaconis, Persi
1998
Buildings. Reprint of the 1989 original. Zbl 0922.20034
Brown, Kenneth S.
1998
Buildings. 2nd, corr. printing. Zbl 0922.20033
Brown, Kenneth S.
1996
The geometry of rewriting systems: A proof of the Anick-Groves-Squier theorem. Zbl 0764.20016
Brown, Kenneth S.
1992
The geometry of finitely presented infinite simple groups. Zbl 0753.20007
Brown, Kenneth S.
1992
Five lectures on buildings. Zbl 0846.20032
Brown, Kenneth S.
1991
Buildings. Zbl 0715.20017
Brown, Kenneth S.
1989
A generalization of Sylow’s third theorem. Zbl 0639.20012
Brown, Kenneth S.; Thévenaz, Jacques
1988
Finiteness properties of groups. Zbl 0613.20033
Brown, Kenneth S.
1987
Trees, valuations, and the Bieri-Neumann-Strebel invariant. Zbl 0663.20033
Brown, Kenneth S.
1987
Finiteness properties of solvable S-arithmetic groups: An example. Zbl 0617.20020
Abels, Herbert; Brown, Kenneth S.
1987
Cohomology of groups. (Kogomologii grupp). Transl. from the English by D. B. Fuks. Zbl 0606.20041
Brown, Kenneth S.
1987
Cohomology with free coefficients of the fundamental group of a graph of groups. Zbl 0584.20037
Brown, Kenneth S.; Geoghegan, Ross
1985
An infinite-dimensional torsion-free $$\text{FP}_{\infty}$$ group. Zbl 0557.55009
Brown, Kenneth S.; Geoghegan, Ross
1984
Presentations for groups acting on simply-connected complexes. Zbl 0545.20022
Brown, Kenneth S.
1984
$$FP_\infty$$ groups and HNN extensions. Zbl 0521.57001
Brown, Kenneth S.; Geoghegan, Ross
1983
Cohomology of groups. Zbl 0584.20036
Brown, Kenneth S.
1982
Complete Euler characteristics and fixed-point theory. Zbl 0493.20033
Brown, Kenneth S.
1982
Cohomology of infinite groups. Zbl 0424.20044
Brown, Kenneth S.
1980
Groups of virtually finite dimension. Zbl 0426.20038
Brown, Kenneth S.
1979
Homotopy dimension and simple cohomological dimension of spaces. Zbl 0351.55009
Brown, Kenneth S.; Kahn, Peter J.
1977
Cohomology of groups (Summary of talks). Zbl 0367.18012
Brown, K. S.
1976
High dimensional cohomology of discrete groups. Zbl 0339.20013
Brown, Kenneth S.
1976
Euler characteristics of groups: The $$p$$-fractional part. Zbl 0294.20048
Brown, Kenneth S.
1975
Homological criteria for finiteness. Zbl 0302.18010
Brown, Kenneth S.
1975
The Artin-Rees property and homology. Zbl 0321.18010
Brown, Kenneth S.; Dror, Emmanuel
1975
Abstract homotopy theory and generalized sheaf cohomology. Zbl 0245.55007
Brown, Kenneth S.
1974
Euler characteristics of discrete groups and G-spaces. Zbl 0294.20047
Brown, Kenneth S.
1974
Algebraic $$K$$-theory as generalized sheaf cohomology. Zbl 0291.18017
Brown, Kenneth S.; Gersten, Stephen M.
1973
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#### Cited by 1,702 Authors

 19 Van Maldeghem, Hendrik J. 17 Gonçalves, Daciberg Lima 15 Steinberg, Benjamin 14 Kochloukova, Dessislava Hristova 13 Ash, Avner 13 Dranishnikov, Alexander Nikolaevich 12 Cleary, Sean 12 Martínez-Pérez, Conchita 11 Caprace, Pierre-Emmanuel 11 Kropholler, Peter H. 11 Zaremsky, Matthew Curtis Burkholder 10 Brown, Kenneth Stephen 10 Parkinson, James 10 Saliola, Franco V. 10 Saltman, David J. 10 Taback, Jennifer 9 Bux, Kai-Uwe 9 Davis, Michael W. 9 Lucchini, Andrea 9 Meier, John 9 Panyanak, Bancha 9 Wortman, Kevin A. 8 Adem, Alejandro 8 Aljadeff, Eli 8 Guba, Victor S. 8 Hosaka, Tetsuya 8 Leary, Ian James 8 Lorenz, Martin 8 Lück, Wolfgang 8 Nucinkis, Brita E. A. 8 Petrosyan, Nansen 8 Symonds, Peter 8 Vogtmann, Karen 7 Bridson, Martin R. 7 Brin, Matthew G. 7 Burillo, José 7 Dekimpe, Karel 7 Dwyer, William G. 7 Paris, Luis 7 Pride, Stephen J. 7 Witzel, Stefan 7 Zimmermann, Bruno P. 6 Ayyer, Arvind 6 Beneish, Esther 6 Bieri, Robert 6 Blagojević, Pavle V. M. 6 Dunfield, Nathan M. 6 Elder, Murray J. 6 Geoghegan, Ross 6 Guaschi, John 6 Margolis, Stuart W. 6 Sapir, Mark Valentinovich 6 Shareshian, John 6 Stein, Melanie I. 6 Struyve, Koen 6 Suciu, Alexander I. 5 Abramenko, Peter 5 Akita, Toshiyuki 5 Burichenko, Vladimir P. 5 Chiswell, Ian M. 5 Diaconis, Persi Warren 5 Emmanouil, Ioannis 5 Farley, Daniel Scott 5 Flores, Ramón J. 5 Fulman, Jason E. 5 Gray, Robert D. 5 Harer, John L. 5 Hermiller, Susan M. 5 Hillman, Jonathan Arthur 5 Januszkiewicz, Tadeusz 5 Jensen, Craig A. 5 Kapovich, Michael 5 Kołodziejczyk, Danuta 5 Kramer, Linus 5 McCammond, Jon 5 Mihalik, Michael L. 5 Mühlherr, Bernhard Matthias 5 Porter, Timothy 5 Thomas Putman, Andrew 5 Rahm, Alexander Daniel 5 Schilling, Anne 5 Strebel, Ralph 5 Wahl, Nathalie 4 Alonso, Juan Miguel 4 Belk, James M. 4 Bleak, Collin 4 Brady, Noel 4 Brady, Thomas 4 Callegaro, Filippo 4 Chang, Shih-Sen 4 Charney, Ruth M. 4 Damian, Erika 4 Daverman, Robert J. 4 de Cornulier, Yves 4 Dehornoy, Patrick 4 Dembegioti, Fotini 4 Díaz Ramos, Antonio 4 Dicks, Warren 4 Dimca, Alexandru 4 Farrell, F. Thomas ...and 1,602 more Authors
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#### Cited in 232 Serials

 178 Journal of Pure and Applied Algebra 176 Journal of Algebra 77 Transactions of the American Mathematical Society 68 Topology and its Applications 62 Advances in Mathematics 62 Algebraic & Geometric Topology 42 Annales de l’Institut Fourier 40 Communications in Algebra 40 Proceedings of the American Mathematical Society 38 Geometry & Topology 37 Groups, Geometry, and Dynamics 33 Israel Journal of Mathematics 33 Inventiones Mathematicae 29 Geometriae Dedicata 29 International Journal of Algebra and Computation 28 Mathematische Zeitschrift 25 Duke Mathematical Journal 24 Mathematische Annalen 19 Journal of Combinatorial Theory. Series A 15 Journal of Group Theory 13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Journal of the American Mathematical Society 12 Communications in Mathematical Physics 12 Archiv der Mathematik 12 Journal of Algebraic Combinatorics 11 Compositio Mathematica 11 Journal of Number Theory 11 European Journal of Combinatorics 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Discrete Mathematics 9 Cahiers de Topologie et Géométrie Différentielle Catégoriques 9 Fixed Point Theory and Applications 8 Journal of Functional Analysis 8 Journal für die Reine und Angewandte Mathematik 8 $$K$$-Theory 8 Geometric and Functional Analysis. GAFA 8 Journal of Homotopy and Related Structures 7 Mathematical Notes 7 Bulletin of the London Mathematical Society 7 Manuscripta Mathematica 7 Memoirs of the American Mathematical Society 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Tohoku Mathematical Journal. Second Series 7 Bulletin of the American Mathematical Society. New Series 7 Indagationes Mathematicae. New Series 7 Journal de Théorie des Nombres de Bordeaux 7 Journal of Mathematical Sciences (New York) 7 Journal of Topology and Analysis 6 Journal of Geometry and Physics 6 Advances in Applied Mathematics 6 Applied Categorical Structures 6 Algebras and Representation Theory 6 Journal of the European Mathematical Society (JEMS) 5 Publications Mathématiques 5 Semigroup Forum 5 St. Petersburg Mathematical Journal 5 Transformation Groups 5 Annals of Mathematics. Second Series 5 Journal of the Institute of Mathematics of Jussieu 5 Journal of Noncommutative Geometry 5 Journal of Nonlinear Science and Applications 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Nuclear Physics. B 4 Rocky Mountain Journal of Mathematics 4 Glasgow Mathematical Journal 4 Michigan Mathematical Journal 4 Monatshefte für Mathematik 4 Osaka Journal of Mathematics 4 Proceedings of the Japan Academy. Series A 4 Rendiconti del Seminario Matematico della Università di Padova 4 Discrete & Computational Geometry 4 Designs, Codes and Cryptography 4 Experimental Mathematics 4 Journal of Inequalities and Applications 4 Annales Mathématiques du Québec 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Illinois Journal of Mathematics 3 Journal of Soviet Mathematics 3 Proceedings of the London Mathematical Society. Third Series 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Siberian Mathematical Journal 3 Theoretical Computer Science 3 Ergodic Theory and Dynamical Systems 3 Annals of Pure and Applied Logic 3 Forum Mathematicum 3 Differential Geometry and its Applications 3 Expositiones Mathematicae 3 Topology Proceedings 3 Theory and Applications of Categories 3 Documenta Mathematica 3 Annals of Combinatorics 3 Communications in Contemporary Mathematics 3 Journal of the Australian Mathematical Society 3 Journal of Algebra and its Applications 3 Mediterranean Journal of Mathematics 3 Bulletin of the American Mathematical Society 3 Journal of Fixed Point Theory and Applications 3 Journal of Topology 3 Science China. Mathematics 3 Bulletin of Mathematical Sciences ...and 132 more Serials
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#### Cited in 49 Fields

 988 Group theory and generalizations (20-XX) 437 Manifolds and cell complexes (57-XX) 338 Algebraic topology (55-XX) 174 Category theory; homological algebra (18-XX) 147 Combinatorics (05-XX) 143 Associative rings and algebras (16-XX) 139 Number theory (11-XX) 131 Algebraic geometry (14-XX) 107 Topological groups, Lie groups (22-XX) 102 Geometry (51-XX) 80 $$K$$-theory (19-XX) 69 Differential geometry (53-XX) 50 General topology (54-XX) 45 Computer science (68-XX) 43 Several complex variables and analytic spaces (32-XX) 42 Commutative algebra (13-XX) 40 Probability theory and stochastic processes (60-XX) 38 Order, lattices, ordered algebraic structures (06-XX) 38 Nonassociative rings and algebras (17-XX) 37 Functional analysis (46-XX) 36 Convex and discrete geometry (52-XX) 35 Operator theory (47-XX) 34 Dynamical systems and ergodic theory (37-XX) 33 Field theory and polynomials (12-XX) 28 Global analysis, analysis on manifolds (58-XX) 26 Mathematical logic and foundations (03-XX) 25 Abstract harmonic analysis (43-XX) 23 Quantum theory (81-XX) 17 Functions of a complex variable (30-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 5 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

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